{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stochastic Variational Inference for Scalability with SVGP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the main criticisms of Gaussian processes is their scalability to large datasets. In this notebook, we illustrate how to use the state-of-the-art Stochastic Variational Gaussian Process (SVGP) (*Hensman, et. al. 2013*) to overcome this problem. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:19.648795Z",
     "start_time": "2018-06-19T10:03:18.667009Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import numpy.random as rnd\n",
    "import time\n",
    "import gpflow\n",
    "import tensorflow as tf\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating data:\n",
    "For this notebook example, we generate 10000 noisy observations from a test function:\n",
    "$$\n",
    "f(x) = \\sin(3\\pi x) + 0.3\\cos(9\\pi x) + \\frac{\\sin(7 \\pi x)}{2}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:19.834478Z",
     "start_time": "2018-06-19T10:03:19.652438Z"
    }
   },
   "outputs": [],
   "source": [
    "def func(x):\n",
    "    return np.sin(x * 3 * 3.14) + 0.3 * np.cos(x * 9 * 3.14) + 0.5 * np.sin(x * 7 * 3.14)\n",
    "\n",
    "N = 10000 # Number of training observations\n",
    "\n",
    "X = rnd.rand(N, 1) * 2 - 1 # X values\n",
    "Y = func(X) + 0.2 * rnd.randn(N, 1) # Noisy Y values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the data along with the noiseless generating function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:19.834478Z",
     "start_time": "2018-06-19T10:03:19.652438Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X, Y, 'x', alpha=0.2)\n",
    "D = X.shape[1]\n",
    "Xt = np.linspace(-1.1, 1.1, 1000)[:, None]\n",
    "Yt = func(Xt)\n",
    "plt.plot(Xt, Yt, c='k');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building the model:\n",
    "The main idea behind SVGP is to approximate the true GP posterior with a GP conditioned on a small set of \"inducing\" values. This smaller set can be thought of as summarising the larger dataset. For this example, we will select a set of 50 inducing locations that are initialised from the training dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:19.651465Z",
     "start_time": "2018-06-19T10:03:19.649895Z"
    }
   },
   "outputs": [],
   "source": [
    "M = 50 # Number of inducing locations\n",
    "\n",
    "kern = gpflow.kernels.RBF(D)\n",
    "Z = X[:M, :].copy() # Initialise inducing locations to the first M inputs in the dataset\n",
    "m = gpflow.models.SVGP(X, Y, kern, gpflow.likelihoods.Gaussian(), Z, minibatch_size=len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Likelihood computation: Batch vs. Minibatch\n",
    "First we showcase the model's performance using the whole dataset to compute the ELBO."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30.5 ms ± 1.45 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "m.compute_log_likelihood()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can speed up this calculation by using minibatches of the data. For this example, we use minibatched of size 100."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "minibatch_size = 100\n",
    "ground_truth = m.compute_log_likelihood()\n",
    "m.X.set_batch_size(minibatch_size)\n",
    "m.Y.set_batch_size(minibatch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.41 ms ± 22 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "m.compute_log_likelihood()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stochastical estimation of ELBO\n",
    "The minibatch estimate should be an unbiased estimator of the `ground_truth`. Here we show a histogram of the value from different evaluations, together with its mean and the ground truth. The small difference between the mean of the minibatch estimations and the ground truth shows that the minibatch estimator is working as expected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:20.325718Z",
     "start_time": "2018-06-19T10:03:20.019850Z"
    }
   },
   "outputs": [],
   "source": [
    "evals = [m.compute_log_likelihood() for _ in range(100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:20.447316Z",
     "start_time": "2018-06-19T10:03:20.326855Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(evals, label='Minibatch Estimations')\n",
    "plt.axvline(ground_truth, c='k', label='Ground Truth')\n",
    "plt.legend()\n",
    "plt.title('Histogram of ELBO evaluations using minibatches');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Minibatches speed up computation\n",
    "The reason to use minibatches is that it decreases the time needed to make an optimisation step, since estmating the objective is computationally cheaper with fewer datapoints. Here we plot the change in time required with the size of the minibatch. We see that smaller minibatches result in a cheaper estimate of the objective."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:21.935138Z",
     "start_time": "2018-06-19T10:03:20.448899Z"
    }
   },
   "outputs": [],
   "source": [
    "# Evaluate objective for different minibatch sizes\n",
    "minibatch_proportions = np.logspace(-2, 0, 10)\n",
    "times = []\n",
    "objs = []\n",
    "for mbp in minibatch_proportions:\n",
    "    batchsize = int(len(X) * mbp)\n",
    "    m.X.set_batch_size(batchsize)\n",
    "    m.Y.set_batch_size(batchsize)\n",
    "    start_time = time.time()\n",
    "    objs.append([m.compute_log_likelihood() for _ in range(20)])\n",
    "    times.append(time.time() - start_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:22.175432Z",
     "start_time": "2018-06-19T10:03:21.936320Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 6))\n",
    "ax1.plot(minibatch_proportions, times, 'x-')\n",
    "ax1.set_xlabel(\"Minibatch proportion\")\n",
    "ax1.set_ylabel(\"Time taken\")\n",
    "\n",
    "ax2.plot(minibatch_proportions, np.array(objs), 'kx')\n",
    "ax2.set_xlabel(\"Minibatch proportion\")\n",
    "ax2.set_ylabel(\"ELBO estimates\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Running stochastic optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we create a utility function that plots the models predictions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:22.427663Z",
     "start_time": "2018-06-19T10:03:22.176572Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot():\n",
    "    plt.figure(figsize=(12, 4))\n",
    "    pX = np.linspace(-1, 1, 100)[:, None] # Test locations\n",
    "    pY, pYv = m.predict_y(pX) # Predict Y values at test locations\n",
    "    plt.plot(X, Y, 'x', label='Training points', alpha=0.2)\n",
    "    line, = plt.plot(pX, pY, lw=1.5, label='Mean of predictive posterior')\n",
    "    col = line.get_color()\n",
    "    plt.fill_between(pX[:, 0], (pY-2*pYv**0.5)[:, 0], (pY+2*pYv**0.5)[:, 0], color=col, alpha=0.6, lw=1.5)\n",
    "    plt.plot(m.feature.Z.value, np.zeros(m.feature.Z.value.shape), 'k|', mew=2, label='Inducing locations')\n",
    "    plt.legend(loc='lower right')\n",
    "\n",
    "plot()\n",
    "plt.title(\"Predictions before training\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To plot the optmisation trace, we create a GPflow `Action` object. This object stores the model as well as a list of its log-likelihood (ELBO) at certain points in the optimisation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:22.435885Z",
     "start_time": "2018-06-19T10:03:22.429052Z"
    }
   },
   "outputs": [],
   "source": [
    "class Logger(gpflow.actions.Action):\n",
    "    def __init__(self, model):\n",
    "        self.model = model\n",
    "        self.logf = []\n",
    "        \n",
    "    def run(self, ctx):\n",
    "        if (ctx.iteration % 10) == 0:\n",
    "            # Extract likelihood tensor from Tensorflow session\n",
    "            likelihood = - ctx.session.run(self.model.likelihood_tensor)\n",
    "            # Append likelihood value to list\n",
    "            self.logf.append(likelihood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can train our model. For optimising the ELBO, we use the Adam Optimiser *(Kingma and Ba 2015)* which is designed for stochastic objective functions. We create a utility function `run_adam` to perform the optimisation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:32.117175Z",
     "start_time": "2018-06-19T10:03:22.437954Z"
    }
   },
   "outputs": [],
   "source": [
    "minibatch_size = 100\n",
    "m.X.set_batch_size(minibatch_size)\n",
    "m.Y.set_batch_size(minibatch_size)\n",
    "\n",
    "# We turn of training for inducing point locations\n",
    "m.feature.trainable = False\n",
    "\n",
    "def run_adam(model, iterations):\n",
    "    \"\"\"\n",
    "    Utility function running the Adam Optimiser interleaved with a `Logger` action.\n",
    "    \n",
    "    :param model: GPflow model\n",
    "    :param interations: number of iterations\n",
    "    \"\"\"\n",
    "    # Create an Adam Optimiser action\n",
    "    adam = gpflow.train.AdamOptimizer().make_optimize_action(model)\n",
    "    # Create a Logger action\n",
    "    logger = Logger(model)\n",
    "    actions = [adam, logger]\n",
    "    # Create optimisation loop that interleaves Adam with Logger\n",
    "    loop = gpflow.actions.Loop(actions, stop=iterations)()\n",
    "    # Bind current TF session to model\n",
    "    model.anchor(model.enquire_session())\n",
    "    return logger"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we run the optimisation loop for 10000 iterations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:32.238753Z",
     "start_time": "2018-06-19T10:03:32.118770Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "logger = run_adam(m, gpflow.test_util.notebook_niter(10000))\n",
    "plt.plot(-np.array(logger.logf))\n",
    "plt.xlabel('iteration')\n",
    "plt.ylabel('ELBO');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we plot the model's predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T10:03:32.395101Z",
     "start_time": "2018-06-19T10:03:32.240215Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot()\n",
    "plt.title(\"Predictions after training\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further reading:\n",
    "\n",
    "Several Notebooks that expand on this one:\n",
    "\n",
    "- [Advanced Sparse GP regression](../advanced/advanced_many_points.ipynb), which goes into deeper detail on Sparse Gaussian process methods.\n",
    "- [Optmisation](../advanced/optimisation.ipynb) discussing optimising GP models.\n",
    "- [Natural Gradients](../advanced/natural_gradients.ipynb) for optimising SVGP models efficiently."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References:\n",
    "Hensman, James, Nicolo Fusi, and Neil D. Lawrence. \"Gaussian processes for big data.\" Uncertainty in Artificial Intelligence (2013).\n",
    "\n",
    "Kingma, Diederik P., and Jimmy Ba. \"Adam: A method for stochastic optimization.\" arXiv preprint arXiv:1412.6980 (2014)."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
 "nbformat": 4,
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}
